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Finding the Third Proportional to 173,724 and 275,306

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Solution

The third proportional to 173,724 and 275,306 is: 436,286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,724 : 275,306 = 275,306 : x
  2. Step 2: Convert to fraction form
    173,724/275,306 = 275,306/x
  3. Step 3: Cross multiply
    173,724x = 275,306 × 275,306
  4. Step 4: Simplify right side
    173,724x = 75,793,393,636
  5. Step 5: Solve for x
    x = 75,793,393,636/173,724
  6. Step 6: Final answer
    x = 436,286.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.